Home
Class 12
MATHS
Let f(x)=1/x^2,1 < x < infty =0,otherwi...

Let `f(x)=1/x^2,1 < x < infty`
`=0`,otherwise
be the pdf of a r.v. X if `C_1={x:1 < X <2}` and `C_2={x:4 < X < 5}`,
find `P(C_1 uu C_2)`.

Promotional Banner

Topper's Solved these Questions

  • Matrices

    CHETANA PUBLICATION|Exercise EXERCISE|96 Videos

  • Trignometric Functions

    CHETANA PUBLICATION|Exercise EXERCISE|113 Videos

Similar Questions

Explore conceptually related problems

Determine K if f(x)=Ke^(- theta x),0lex 0 =0 ,otherwise is the p.d.f. of r.v. X. Also find P(X > 1/theta) and find M if P(0 < X < m)=1/2 .

Given that p.d.f of a continuous r.v. f(x)=x^2/3 , for -1 =0 otherwise. Determine c.d.f of X hence find P(x 0) , P(1 < x < 2) .

If the p.d.f. of a r.v. X is given as Then F(0) =

Given that p.d.f of a continuous r.v. f(x)=x^(2/3) , for 1 and =0 otherwise. Determine c. d. f. of X hence find P(x 2),P(X > 0),P(1 < x < 2) .

The pdf of r.v.X is given by f(x)=1/2a ,for 0 3a/2)

The pdf of r.v.X is given by f(x)=k/sqrt(x) ,0 =0 ,otherwise. Determine k. Determine c.d.f. of x and hence find P(xle2),P(2 < X < 3), P(Xge1) .

If the p.d.f of a r.v.x is f(x)=3(1-2x^2), for 0ltxlt1 and =0 ,other wise(elsewhere)then the c.d.f of X is F(x)=

It is known thet error in measured of reaction temperature (in 0^@ ) in certain experiment is continous r.v given by f(x)=x^2/3,for -1

The p.d.f. of a r.v. X is f(x)={{:((1)/(x^(2))","1ltxltoo),(0", otherwise"):} . If C_(1)={x : 1lt x lt 2}" and "C_(2)={x : 4lt x lt 5} , then P(C_(1)uuC_(2)) =

CHETANA PUBLICATION-PROBABILITY DISTRIBUTIONS-EXERCISE
  1. For each of the following p.d.f of r.v.X,find (a)P(x<1) and (b)P(|X|<1...

    Text Solution

    |

  2. Find the c.d.f. f(x)=3(1-2x^2) for 0 < x < 1 and =0,otherwise. Also ...

    Text Solution

    |

  3. Let f(x)=1/x^2,1 < x < infty =0,otherwise be the pdf of a r.v. X if ...

    Text Solution

    |

  4. Let X=amount of time for which on book is taken out of a college libra...

    Text Solution

    |

  5. Let X = amount of time for which on book is taken out of a college li...

    Text Solution

    |

  6. Let X denote the reaction temperature (in 0^@ C) of a certain chemical...

    Text Solution

    |

  7. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

    Text Solution

    |

  8. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

    Text Solution

    |

  9. Let X =time (in minutes) that elapser betweeb the bell and the end of ...

    Text Solution

    |

  10. Text Solution

    |

  11. Text Solution

    |

  12. Text Solution

    |

  13. A r.v.X assumes values 1,2,3….n with the equal probabilities. (ii) Wha...

    Text Solution

    |

  14. The pdf of r.v.X is given by f(x)=k/sqrt(x) ,0 < x< 4. =0,otherwise. ...

    Text Solution

    |

  15. Determine K if f(x)=Ke^(- theta x),0lex < theta,theta > 0 =0,otherwise...

    Text Solution

    |

  16. Text Solution

    |

  17. A r.v.X has the following probability distribution.(ii)Find P(0 < x <...

    Text Solution

    |

  18. Given that p.d.f of a continuous r.v. f(x)=x^(2/3), for 1 < x < 2 a...

    Text Solution

    |

  19. Find K,such that the function P(x)=K(4,3),x=0,1,2,3,4,K>0=0,otherwise ...

    Text Solution

    |

  20. Find the expected value,variance and standard deviation of a random va...

    Text Solution

    |